Question

A capacitor is connected to a battery that produces an emf. These two components, the capacitor and the battery, are the only ones in the circuit. The capacitance is variable in such a way as to keep the current, that goes through it, constant. If the capacitor wasn’t variable the current would change. Find the power given by the battery, and compare it with the time-rate of change of the energy stored in the capacitor. Explain why these tow powers are the same if they are the same and why these two powers are diﬀerent if they are diﬀerent. (Problem was provided with no numbers)

Answer #1

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16.3 Capacitance
57. MC
A capacitor is first connected to a 6.0-V battery and then
disconnected and connected to a 12.0-V battery. How does its
capacitance change: (a) It increases, (b) it decreases, or (c) it
stays the same?
58. MC
A capacitor is first connected to a 6.0-V battery and then
disconnected and connected to a 12.0-V battery. How does the charge
on one of its plates change: (a) It increases, (b) it decreases, or
(c) it stays the same?
59. MC...

A 13 pF capacitor is connected in series with a 5 pF and 9 pF
capacitor that are connected in parallel. The three capacitors are
connected to a 26 V battery.
A) What is the equivalent capacitance of the circuit?
B) How much charge is on the 13 pF capacitor?
C) What is the potential difference across the 5 pF
capacitor?
D) A parallel plate capacitor of plate area A and plate
separation d is fully charged using a battery...

A 13 pF capacitor is connected in series with a 5 pF and 9 pF
capacitor that are connected in parallel. The three capacitors are
connected to a 26 V battery. (Show all your work!) A) What is the
equivalent capacitance of the circuit? B) How much charge is on the
13 pF capacitor? C) What is the potential difference across the 5
pF capacitor?
D) A parallel plate capacitor of plate area A and plate
separation d is fully...

An initially uncharged 12 μF capacitor charged by a 12 V power
supply (battery) connected in
series with a 100 Ω resistor.
i. What is the total energy stored in the capacitor when it reached
the fully charged situation?
ii. What is the total energy supplied by the power supply during
this time?
iii. Does the capacitor store the total energy supplied by the
battery? Otherwise, explain how
the energy supplied by the battery used in the circuit.

You are supplied with a battery that has an emf of 10V and a
piece of rubber with a resistivity of 8x10^13 m. The rubber has
dimensions of 2 cm x 3 cm x 9 cm.
A. If you wanted to use the piece of rubber as a resistor with
the lowest possible resistance which faces would you connect the
battery to? The 2x3 cm2 , 2x9 cm2 , or 3x9 cm2 sides? Why?
B. Calculate the resistance of the...

You are supplied with a battery that has an emf of 10V and a
piece of rubber with a resistivity of 8x1013 ohm m. The rubber has
dimensions of 2 cm x 3 cm x 9 cm.
A. If you wanted to use the piece of rubber as a resistor with
the lowest possible resistance which faces would you connect the
battery to? The 2x3 cm2 , 2x9 cm2 , or 3x9 cm2 sides? Why?
B. Calculate the resistance of...

A parallel-plate capacitor with plate separation d is connected
to a battery that provides a potential difference ε. While still
connected to the battery, the plate separation is increased to
2d.
a) Does the potential difference across the capacitor change as
the separation increases? If so, then by what factor? If not, then
why not?
b) Does the capacitance change as the separation increases? If
so, then by what factor? If not, then why not?
c) Does the capacitor charge...

Two resistors, each with a resistance of 200 MΩ are connected
in parallel. Two capacitors, each with a capacitance of 10 μF are
connected in series. The combination of resistors and the
combination of capacitors are then connected in series with a
battery supplying an emf of 12 V. The electrical circuit is
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(a) Illustrate the circuit.
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(c) What fraction of the final...

A 5 µF, a 7 µF, and an unknown capacitor CX are
connected in parallel between points a and b in a
circuit. Draw a circuit diagram.
a. If the equivalent single capacitor has a capacitance
of 24 µF, what is the value of CX
b. if the circuit is connected to a power source of 20 V across
points a and b, what are the charges on each of capacitors and on
the equivalent capacitor?
c. What is the...

When an air capacitor with a capacitance of 340 nF (1 nF =
10−9F) is connected to a power supply, the energy stored in the
capacitor is 1.65×10−5 J . While the capacitor is kept
connected to the power supply, a slab of dielectric is inserted
that completely fills the space between the plates. This increases
the stored energy by 2.30×10−5 J
What is the potential difference between the capacitor
plates?
What is the dielectric constant of the slab?
Two...

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